Impasse points and descriptor systems with unilateral constraints
نویسنده
چکیده
Descriptor systems with inequality (unilateral) constraints may have singularities (impasse points) if the set of active constraints changes in the time interval of interest. A typical example are contact conditions in constrained mechanical systems that can be formulated as unilateral constraints for the position and velocity coordinates. We discuss these singularities in detail for a simple model problem and use a method proposed in [2] to regularize the contact conditions. The theoretical results are applied to the contact between a wheel and a rail, they can be used in the dynamical simulation of wheel-rail systems.
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